Search a number
-
+
5656226166 = 2331915493559
BaseRepresentation
bin1010100010010001…
…10010100101110110
3112121012012001122000
411101020302211312
543040443214131
62333132320130
7260111062203
oct52110624566
915535161560
105656226166
112442879488
12111a313046
136c1ab27b6
143b92c2caa
1523187dce6
hex151232976

5656226166 has 64 divisors (see below), whose sum is σ = 13243200000. Its totient is φ = 1784522016.

The previous prime is 5656226161. The next prime is 5656226201. The reversal of 5656226166 is 6616226565.

It is a happy number.

5656226166 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 22 + 616 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5656226161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587495 + ... + 1591053.

It is an arithmetic number, because the mean of its divisors is an integer number (206925000).

Almost surely, 25656226166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5656226166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621600000).

5656226166 is an abundant number, since it is smaller than the sum of its proper divisors (7586973834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5656226166 is a wasteful number, since it uses less digits than its factorization.

5656226166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5132 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 5656226166 is about 75207.8863284962. The cubic root of 5656226166 is about 1781.7314892055.

It can be divided in two parts, 56562 and 26166, that added together give a palindrome (82728).

The spelling of 5656226166 in words is "five billion, six hundred fifty-six million, two hundred twenty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1549 3098 3559 4647 7118 9294 10677 13941 21354 27882 29431 32031 41823 58862 64062 67621 83646 88293 96093 135242 176586 192186 202863 264879 405726 529758 608589 794637 1217178 1589274 1825767 3651534 5512891 11025782 16538673 33077346 49616019 99232038 104744929 148848057 209489858 297696114 314234787 628469574 942704361 1885408722 2828113083 5656226166